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114243112401 = 311295910611907
BaseRepresentation
bin110101001100101101…
…0111000110111010001
3101220212210120102100020
41222121122320313101
53332432214044101
6124252122214053
711153023301355
oct1523132706721
9356783512306
10114243112401
11444a5293280
121a183954329
13aa085bbcc2
14575a93d465
152e89891136
hex1a996b8dd1

114243112401 has 64 divisors (see below), whose sum is σ = 175071974400. Its totient is φ = 65621292800.

The previous prime is 114243112397. The next prime is 114243112409. The reversal of 114243112401 is 104211342411.

It is a happy number.

It is not a de Polignac number, because 114243112401 - 22 = 114243112397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114243112409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59906290 + ... + 59908196.

It is an arithmetic number, because the mean of its divisors is an integer number (2735499600).

Almost surely, 2114243112401 is an apocalyptic number.

114243112401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114243112401 is a deficient number, since it is larger than the sum of its proper divisors (60828861999).

114243112401 is a wasteful number, since it uses less digits than its factorization.

114243112401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114243112401 its reverse (104211342411), we get a palindrome (218454454812).

The spelling of 114243112401 in words is "one hundred fourteen billion, two hundred forty-three million, one hundred twelve thousand, four hundred one".

Divisors: 1 3 11 29 33 59 87 177 319 649 957 1061 1711 1907 1947 3183 5133 5721 11671 18821 20977 30769 35013 55303 56463 62599 62931 92307 112513 165909 187797 337539 338459 608333 688589 1015377 1237643 1815371 1824999 2023327 2065767 3262877 3712929 5446113 6069981 9788631 19969081 22256597 35891647 58676483 59907243 66769791 107674941 119376293 176029449 358128879 645441313 1313139223 1936323939 3461912497 3939417669 10385737491 38081037467 114243112401